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Simplifying 50m3 + -18m = 0 Reorder the terms: -18m + 50m3 = 0 Solving -18m + 50m3 = 0 Solving for variable 'm'. Factor out the Greatest Common Factor (GCF), '2m'. 2m(-9 + 25m2) = 0 Factor a difference between two squares. 2m((3 + 5m)(-3 + 5m)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(3 + 5m)' equal to zero and attempt to solve: Simplifying 3 + 5m = 0 Solving 3 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5m = 0 + -3 5m = 0 + -3 Combine like terms: 0 + -3 = -3 5m = -3 Divide each side by '5'. m = -0.6 Simplifying m = -0.6Subproblem 3
Set the factor '(-3 + 5m)' equal to zero and attempt to solve: Simplifying -3 + 5m = 0 Solving -3 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5m = 0 + 3 5m = 0 + 3 Combine like terms: 0 + 3 = 3 5m = 3 Divide each side by '5'. m = 0.6 Simplifying m = 0.6Solution
m = {0, -0.6, 0.6}
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